{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1994:OF6INYIKKDCBQXT2YQZWBYXAAB","short_pith_number":"pith:OF6INYIK","schema_version":"1.0","canonical_sha256":"717c86e10a50c4185e7ac43360e2e00065b6d4832ae5188ab53c199f4fcc51ff","source":{"kind":"arxiv","id":"astro-ph/9411087","version":1},"attestation_state":"computed","paper":{"title":"Complete Model of a Self-gravitating Cosmic String I. A New Class of Exact Solutions and Gravitational Lensing","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Canada), Charles C. Dyer, Francine R. Marleau (Department of Astronomy, University of Toronto","submitted_at":"1994-11-21T19:51:49Z","abstract_excerpt":"We find solutions of Einstein's field equation for topologically stable strings associated with the breaking of a U(1) symmetry. Strings form in many GUTs and are expected whenever the homotopy group $\\Pi_1(M_0)$ is non-trivial. The behavior of the fields making up the string is described by the Euler-Lagrange equations. These fields appear in the energy-momentum tensor so we must solve simultaneously for the coupled Einstein-scalar-gauge field equations. Numerical results are obtained using a Taylor-series method. We obtain a 5-parameter family of solutions and discuss their physical characte"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"astro-ph/9411087","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1994-11-21T19:51:49Z","cross_cats_sorted":[],"title_canon_sha256":"09413779b22a51fe58bb307f4810f0adb9cd53500afc3185f43dd2c1ca6a4729","abstract_canon_sha256":"151020aa43809a6563fd31eab4dab8bb8cd123061f1b59769d62473373c03ab0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:56:32.111173Z","signature_b64":"QkeYDVgX4WDYD89N5XaIH48kilua0TFLgdYyobpOWy9HZHouD1yADJ6dDjXEfhlCbCFy8/4pmj8gQBey7mK5Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"717c86e10a50c4185e7ac43360e2e00065b6d4832ae5188ab53c199f4fcc51ff","last_reissued_at":"2026-07-04T15:56:32.110622Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:56:32.110622Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Complete Model of a Self-gravitating Cosmic String I. A New Class of Exact Solutions and Gravitational Lensing","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Canada), Charles C. Dyer, Francine R. Marleau (Department of Astronomy, University of Toronto","submitted_at":"1994-11-21T19:51:49Z","abstract_excerpt":"We find solutions of Einstein's field equation for topologically stable strings associated with the breaking of a U(1) symmetry. Strings form in many GUTs and are expected whenever the homotopy group $\\Pi_1(M_0)$ is non-trivial. The behavior of the fields making up the string is described by the Euler-Lagrange equations. These fields appear in the energy-momentum tensor so we must solve simultaneously for the coupled Einstein-scalar-gauge field equations. Numerical results are obtained using a Taylor-series method. We obtain a 5-parameter family of solutions and discuss their physical characte"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9411087","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/astro-ph/9411087/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9411087","created_at":"2026-07-04T15:56:32.110706+00:00"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9411087v1","created_at":"2026-07-04T15:56:32.110706+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9411087","created_at":"2026-07-04T15:56:32.110706+00:00"},{"alias_kind":"pith_short_12","alias_value":"OF6INYIKKDCB","created_at":"2026-07-04T15:56:32.110706+00:00"},{"alias_kind":"pith_short_16","alias_value":"OF6INYIKKDCBQXT2","created_at":"2026-07-04T15:56:32.110706+00:00"},{"alias_kind":"pith_short_8","alias_value":"OF6INYIK","created_at":"2026-07-04T15:56:32.110706+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OF6INYIKKDCBQXT2YQZWBYXAAB","json":"https://pith.science/pith/OF6INYIKKDCBQXT2YQZWBYXAAB.json","graph_json":"https://pith.science/api/pith-number/OF6INYIKKDCBQXT2YQZWBYXAAB/graph.json","events_json":"https://pith.science/api/pith-number/OF6INYIKKDCBQXT2YQZWBYXAAB/events.json","paper":"https://pith.science/paper/OF6INYIK"},"agent_actions":{"view_html":"https://pith.science/pith/OF6INYIKKDCBQXT2YQZWBYXAAB","download_json":"https://pith.science/pith/OF6INYIKKDCBQXT2YQZWBYXAAB.json","view_paper":"https://pith.science/paper/OF6INYIK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=astro-ph/9411087&json=true","fetch_graph":"https://pith.science/api/pith-number/OF6INYIKKDCBQXT2YQZWBYXAAB/graph.json","fetch_events":"https://pith.science/api/pith-number/OF6INYIKKDCBQXT2YQZWBYXAAB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OF6INYIKKDCBQXT2YQZWBYXAAB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OF6INYIKKDCBQXT2YQZWBYXAAB/action/storage_attestation","attest_author":"https://pith.science/pith/OF6INYIKKDCBQXT2YQZWBYXAAB/action/author_attestation","sign_citation":"https://pith.science/pith/OF6INYIKKDCBQXT2YQZWBYXAAB/action/citation_signature","submit_replication":"https://pith.science/pith/OF6INYIKKDCBQXT2YQZWBYXAAB/action/replication_record"}},"created_at":"2026-07-04T15:56:32.110706+00:00","updated_at":"2026-07-04T15:56:32.110706+00:00"}